On commutators of foliation preserving homeomorphisms
We consider the group of foliation preserving homeomorphisms of a foliated manifold. We compute the first homologies of the groups for codimension one foliations. Especially, we show that the group for the Reeb foliation on the 3-sphere is perfect and the groups for irrational linear foliations on the torus are not perfect.
- Journal of the Mathematical Society of Japan
Journal of the Mathematical Society of Japan 51(1), 227-236, 1999-01
The Mathematical Society of Japan